Coherent Pair State of Pion in Constituent Quark Model

Details Coherent Pair State of Pion in Constituent Quark Model Coherent Pair State of Pion in Constituent Quark Model

2001-11-06

arxiv.org/abs/hep-ph/0111050v2

Phys.Rev. C65 (2002) 045209

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 2 figures, revtex, submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.65.045209

A coherent state of pions is introduced to the nonrelativistic quark model. The coherent pair approximation is employed for the pion field in order to maintain the spin-isospin symmetry. In this approximation the pion is localized in the momentum space, and the vertex form factor in the pion-quark interaction is derived from this localization. The nucleon masses and wave functions are calculated using this model, and our results are compared to those of the quark model with the one pion exchange potential. Similar result is obtained for the mass spectrum, but there exists a clear difference in the internal structure of nucleon resonances.

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